Given: b is the midpoint of segment a c. segment b c is congruent to segment d e. prove: segment a b is congruent to segment d e. art: three line segments a b, b c, and d e. line segments a b and b c make a straight line. line segment d e intersects line segment b c. point d lies on upward-left direction from line segment b c. statements reasons 1. b is the midpoint of ac. given 2. ab≅bc definition of midpoint 3. bc≅de given 4. ab≅de
what is the reason for statement 4 of the two-column proof? symmetric property of equality segment congruence postulate segment addition postulate transitive property of congruence